Exact solutions of Poisson equation for electrostatic potential problems by means of the variational iteration method

被引：0
|
作者：
Uremen, Sinem [1 ]
Yildirim, Ahmet [1 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Bornova, Turkey
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2009年 / 10卷 / 07期
关键词：
variational iteration method; electrostatic potential problems; poisson equation; HOMOTOPY PERTURBATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR DIFFUSION-EQUATIONS; LANE-EMDEN TYPE; PARABOLIC EQUATION; WAVE EQUATIONS; SINGULAR IVPS; OSCILLATORS;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we present a reliable algorithm, the variational iteration method, to obtain exact solutions of electrostatic potential problems defined by poisson equation which is given boundary and initial conditions. The problem region containing the charge density is subdivided into triangular elements. In this scheme the solution takes the form of a convergent series with easily computable components. Some examples are given. Numerical results show that the variation iteration method is easy to implement and accurate when applied to differential equations.
引用
收藏
页码：867 / 871
页数：5
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